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211901379749 = 3133720283467
BaseRepresentation
bin1100010101011001001…
…1100111010010100101
3202020221202211102021222
43011112103213102211
511432433223122444
6241202433550125
721211054003103
oct3052623472245
9666852742258
10211901379749
1181959893a34
1235099415345
1316c9cc04207
14a38298ac73
1557a3213eee
hex31564e74a5

211901379749 has 8 divisors (see below), whose sum is σ = 219385989888. Its totient is φ = 204457337280.

The previous prime is 211901379733. The next prime is 211901379751. The reversal of 211901379749 is 947973109112.

211901379749 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 211901379749 - 24 = 211901379733 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211901379749.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211901379719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10131287 + ... + 10152180.

It is an arithmetic number, because the mean of its divisors is an integer number (27423248736).

Almost surely, 2211901379749 is an apocalyptic number.

It is an amenable number.

211901379749 is a deficient number, since it is larger than the sum of its proper divisors (7484610139).

211901379749 is a wasteful number, since it uses less digits than its factorization.

211901379749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20283835.

The product of its (nonzero) digits is 857304, while the sum is 53.

The spelling of 211901379749 in words is "two hundred eleven billion, nine hundred one million, three hundred seventy-nine thousand, seven hundred forty-nine".

Divisors: 1 31 337 10447 20283467 628787477 6835528379 211901379749